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Finding the Fourth Proportional to 282,463.22, 389,797.91 and 153,400.79

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Solution

The fourth proportional to 282,463.22, 389,797.91 and 153,400.79 is: 211,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,463.22 : 389,797.91 = 153,400.79 : x
  2. Step 2: Convert to fraction form
    282,463.22/389,797.91 = 153,400.79/x
  3. Step 3: Cross multiply
    282,463.22x = 389,797.91 × 153,400.79
  4. Step 4: Simplify right side
    282,463.22x = 59,795,306,567.35
  5. Step 5: Solve for x
    x = 59,795,306,567.35/282,463.22
  6. Step 6: Final answer
    x = 211,692.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.